2677543142399 has 16 divisors (see below), whose sum is σ = 2709122651136. Its totient is φ = 2646137395200.

The previous prime is 2677543142357. The next prime is 2677543142411. The reversal of 2677543142399 is 9932413457762.

It is a Cunningham number, because it is equal to 1636320²-1.

It is a cyclic number.

It is not a de Polignac number, because 2677543142399 - 2²⁰ = 2677542093823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677543142699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214351544 + ... + 214364034.

It is an arithmetic number, because the mean of its divisors is an integer number (169320165696).

Almost surely, 2^{2677543142399} is an apocalyptic number.

2677543142399 is a deficient number, since it is larger than the sum of its proper divisors (31579508737).

2677543142399 is a wasteful number, since it uses less digits than its factorization.

2677543142399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19246.

The product of its digits is 68584320, while the sum is 62.

The spelling of 2677543142399 in words is "two trillion, six hundred seventy-seven billion, five hundred forty-three million, one hundred forty-two thousand, three hundred ninety-nine".